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122212144 = 2441186299
BaseRepresentation
bin1110100100011…
…00111100110000
322111222000112201
413102030330300
5222241242034
620043232544
73012533425
oct722147460
9274860481
10122212144
1162a9287a
1234b18754
131c41caa2
1412333d4c
15aae1014
hex748cf30

122212144 has 20 divisors (see below), whose sum is σ = 242562600. Its totient is φ = 59615360.

The previous prime is 122212141. The next prime is 122212157. The reversal of 122212144 is 441212221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92494 + ... + 93805.

It is an arithmetic number, because the mean of its divisors is an integer number (12128130).

Almost surely, 2122212144 is an apocalyptic number.

It is an amenable number.

122212144 is a deficient number, since it is larger than the sum of its proper divisors (120350456).

122212144 is a wasteful number, since it uses less digits than its factorization.

122212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186348 (or 186342 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 122212144 is about 11054.9601537048. The cubic root of 122212144 is about 496.2548768098.

Adding to 122212144 its reverse (441212221), we get a palindrome (563424365).

It can be divided in two parts, 12221 and 2144, that added together give a triangular number (14365 = T169).

The spelling of 122212144 in words is "one hundred twenty-two million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 186299 372598 745196 1490392 2980784 7638259 15276518 30553036 61106072 122212144